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132121545040 = 24526911635279
BaseRepresentation
bin111101100001100001…
…1101100100101010000
3110122000202222220022001
41323003003230211100
54131041103420130
6140410143123344
712355044413602
oct1730303544520
9418022886261
10132121545040
115103a193341
12217332a3554
13c5c7597124
146575163172
1536842346ca
hex1ec30ec950

132121545040 has 80 divisors (see below), whose sum is σ = 308648102400. Its totient is φ = 52596916736.

The previous prime is 132121545019. The next prime is 132121545043. The reversal of 132121545040 is 40545121231.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1321215450402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132121545043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25025121 + ... + 25030399.

It is an arithmetic number, because the mean of its divisors is an integer number (3858101280).

Almost surely, 2132121545040 is an apocalyptic number.

132121545040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132121545040 is an abundant number, since it is smaller than the sum of its proper divisors (176526557360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132121545040 is a wasteful number, since it uses less digits than its factorization.

132121545040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6724 (or 6718 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 132121545040 its reverse (40545121231), we get a palindrome (172666666271).

The spelling of 132121545040 in words is "one hundred thirty-two billion, one hundred twenty-one million, five hundred forty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 269 538 1076 1163 1345 2152 2326 2690 4304 4652 5279 5380 5815 9304 10558 10760 11630 18608 21116 21520 23260 26395 42232 46520 52790 84464 93040 105580 211160 312847 422320 625694 1251388 1420051 1564235 2502776 2840102 3128470 5005552 5680204 6139477 6256940 7100255 11360408 12278954 12513880 14200510 22720816 24557908 25027760 28401020 30697385 49115816 56802040 61394770 98231632 113604080 122789540 245579080 491158160 1651519313 3303038626 6606077252 8257596565 13212154504 16515193130 26424309008 33030386260 66060772520 132121545040